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Bibliographic Details
Main Author: Paul, Broussous
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.17459
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Table of Contents:
  • Let $G$ be a connected reductive algebraic group defined over a non-archimedean locally compact field $F$ of odd residue characteristic. Let $θ$ be an $F$-rational involution of $G$ and $H$ be the reductive $F$-group $G^θ$. We describe the orbits of the symmetric subgroup $H_F$ in the set of chambers of the reduced building of $G$ over $F$.